Weighted degree of grey incidence based on optimization entropy

Based on the basic assumption of stable relationship among different factors in the grey system theory and grey sequence entropy, it presents a new method for the first time how to determine the weight of incidence coefficient in grey incidence analysis. By defining the distributing density value of weighted grey incidence coefficient, this paper composes a grey sequence in order to establish an optimization model of incidence coefficient weight. Moreover, this paper validates the validity and practicability of this method with examples. The results indicate that this method can reflect the significance of incidence coefficient at different time point, thereby the fluctuation of incidence coefficient can be controlled effectively, and the problem that the whole grey incidence sequence is controlled by partial point incidence coefficient can be solved.